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2.31 For the timing diagram in Figure P2.3, synthesis the function f(x1, x2,x3) in the simplest sum-of-products form. X2 Time Figure P2.3 A timing diagram representing a logic function

2.31 For the timing diagram in Figure P2.3, synthesis the function f(x1, x2,x3) in the simplest sum-of-products form. X2 Time Figure P2.3 A timing diagram representing a logic function

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Transcription** **Problem 2.31** For the timing diagram in Figure P2.3, synthesize the function f(x1, x2, x3) in the simplest sum-of-products form. **Diagram Explanation** *Figure P2.3* is a timing diagram representing a logic function with three inputs (x1, x2, x3) and one output (f). The diagram is read from left to right, showing how these signals change over time. - **x1**: This signal transitions between high (1) and low (0) states. It stays high initially, then alternates between states at longer intervals. - **x2**: This signal changes state more frequently than x1, starting low and alternating at regular intervals. - **x3**: This signal alternates states more rapidly than x2, offering a quick succession of high and low states. - **f**: The output signal f is determined by a combination of x1, x2, and x3. It changes states based on certain conditions depicted in the diagram. The diagram is a visual tool for analyzing the behavior of digital circuits over time, crucial for designing and understanding logic functions. The goal is to use this information to derive a logic expression for f that can describe its behavior in terms of x1, x2, and x3.
Transcribed Image Text:**Transcription** **Problem 2.31** For the timing diagram in Figure P2.3, synthesize the function f(x1, x2, x3) in the simplest sum-of-products form. **Diagram Explanation** *Figure P2.3* is a timing diagram representing a logic function with three inputs (x1, x2, x3) and one output (f). The diagram is read from left to right, showing how these signals change over time. - **x1**: This signal transitions between high (1) and low (0) states. It stays high initially, then alternates between states at longer intervals. - **x2**: This signal changes state more frequently than x1, starting low and alternating at regular intervals. - **x3**: This signal alternates states more rapidly than x2, offering a quick succession of high and low states. - **f**: The output signal f is determined by a combination of x1, x2, and x3. It changes states based on certain conditions depicted in the diagram. The diagram is a visual tool for analyzing the behavior of digital circuits over time, crucial for designing and understanding logic functions. The goal is to use this information to derive a logic expression for f that can describe its behavior in terms of x1, x2, and x3.
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